| Zugriffsnummer | 39132 |
| Dokumenttyp | Zeitschriftenartikel |
| Sprache | Englisch |
| Titel | Improvement of the basis for the solution of the dirac equation in Cassini Coordinates¹ |
| Autor(in); Institution |
Hahn, Walter; Skolkovo Institute of Science and Technology, Moskow, RUSSIA
Artemyev, Anton; University of Kassel, Insitut für Physik, Kassel, GERMANY
Surzhykov, Andrey; FPM, Fundamentale Physik für Metrologie, PTB-Braunschweig
|
| Quelle/Jahr | Optics and Spectroscopy: 123 (2017), 2, 225 - 230 |
| ISSN | 0030-400X (PRINT) ; 1562-6911 (ONLINE) |
| DOI | |
| Verlag | Moscow: Maik Nauka/Interperiodica Publ |
| Freie Schlagworte | two-center Dirac problem ; quasi-molecules ; Cassini coordinates ; B-splines |
| Zusammenfassung | We propose an improvement of the basis for the solution of the stationary two-centre Dirac equation in Cassini coordinates using the finite-basis-set method presented in our earlier article [J. Phys. B 43, 235207 (2010)]. For the calculations in the above article, we constructed the basis for approximating the energy eigenfunctions by using smooth piecewise defined polynomials, called B-splines. In the present article, we report that an analysis of the employed representation of the Dirac matrices shows that the above approximation is not efficient using B-splines only. Therefore, we include basis functions which are defined using functions with step-like behavior instead of B-splines. Thereby, we achieve a significant increase of accuracy of results. |
